Solve for x
x=\frac{1}{6}+\frac{5}{3y}
y\neq 0
Solve for y
y=\frac{10}{6x-1}
x\neq \frac{1}{6}
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6xy=10+y
Add y to both sides.
6yx=y+10
The equation is in standard form.
\frac{6yx}{6y}=\frac{y+10}{6y}
Divide both sides by 6y.
x=\frac{y+10}{6y}
Dividing by 6y undoes the multiplication by 6y.
x=\frac{1}{6}+\frac{5}{3y}
Divide y+10 by 6y.
\left(6x-1\right)y=10
Combine all terms containing y.
\frac{\left(6x-1\right)y}{6x-1}=\frac{10}{6x-1}
Divide both sides by 6x-1.
y=\frac{10}{6x-1}
Dividing by 6x-1 undoes the multiplication by 6x-1.
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